SOLUTION: Select all discontinuities of {{{(x^2+2x+1)/((9/x)-(x/(x^2-8)))}}} a. x=-3 b. x=-2√2 c. x=-1 d. x=0 e. x=2√2 f. x=3

Algebra ->  Rational-functions -> SOLUTION: Select all discontinuities of {{{(x^2+2x+1)/((9/x)-(x/(x^2-8)))}}} a. x=-3 b. x=-2√2 c. x=-1 d. x=0 e. x=2√2 f. x=3       Log On


   

Question 1035842: Select all discontinuities of %28x%5E2%2B2x%2B1%29%2F%28%289%2Fx%29-%28x%2F%28x%5E2-8%29%29%29
a. x=-3
b. x=-2√2
c. x=-1
d. x=0
e. x=2√2
f. x=3
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
9%2Fx-x%2F%28x%5E2-8%29 becomes zero at x = 3 and x = -3, as can be easily solved.
9/x is undefined at x = 0. x%5E2-8 is zero at x+=+-2sqrt%282%29 and x+=+2sqrt%282%29.
Therefore the expression is continuous only at x = -1. In the other choices it is discontinuous.